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80533200 = 24352116101
BaseRepresentation
bin1001100110011…
…01011011010000
312121112111210010
410303031123100
5131104030300
611554034520
71665343446
oct463153320
9177474703
1080533200
1141505870
1222b78a40
13138b8ca7
14a9a4b96
15710ba50
hex4ccd6d0

80533200 has 120 divisors (see below), whose sum is σ = 281473056. Its totient is φ = 19520000.

The previous prime is 80533181. The next prime is 80533223. The reversal of 80533200 is 233508.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10150 + ... + 16250.

Almost surely, 280533200 is an apocalyptic number.

80533200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140736528).

80533200 is an abundant number, since it is smaller than the sum of its proper divisors (200939856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80533200 is a wasteful number, since it uses less digits than its factorization.

80533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 80533200 is about 8974.0291954060. The cubic root of 80533200 is about 431.8421062208.

Adding to 80533200 its reverse (233508), we get a palindrome (80766708).

The spelling of 80533200 in words is "eighty million, five hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6101 6600 12202 13200 18303 24404 30505 36606 48808 61010 67111 73212 91515 97616 122020 134222 146424 152525 183030 201333 244040 268444 292848 305050 335555 366060 402666 457575 488080 536888 610100 671110 732120 805332 915150 1006665 1073776 1220200 1342220 1464240 1610664 1677775 1830300 2013330 2440400 2684440 3221328 3355550 3660600 4026660 5033325 5368880 6711100 7321200 8053320 10066650 13422200 16106640 20133300 26844400 40266600 80533200